Question: Page | 19 1. Complete the proof. Given T is the midpoint of SU. 7x 3x + 20 Prove x = 5 STATEMENTS REASONS 1.

Page | 19 1. Complete the proof. Given T is the midpoint of SU. 7x 3x + 20 Prove x = 5 STATEMENTS REASONS 1. T is the midpoint of SU. 1. 2. ST = TU 2. Definition of midpoint 3. ST = TU 3. Definition of congruent segments 4. 7x = 3x + 20 4. 5. 5. Subtraction Property of Equality 6. x = 5 6. The same theorems we saw for Algebraic Reasoning can be applied towards Geometric Proofs! EXAMPLE 2 Naming Properties of Congruence Name the property that each statement illustrates. a. If ZT = ZV and ZV = ZR. then ZT = ZR. b. If JL = YZ, then YZ = JL. EXAMPLE 3 Proving a Symmetric Property of Congruence WATCH Write a two-column proof for the Symmetric Property of Segment Congruence. Given LM = NP M N Prove NP = LM

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